Question

Water flows through a cylindrical pipe of internal diameter 7 cm at 36m/hr .  Calculate the time in minute if it would fill a cylindrical tank of radius 35 cm and height 1 m.  Pls. give me te answer as soon as possible.

Answer 1

Time taken(min) = Volume of tank/Volume of water flowing in 1 hr
Volume of tank = π(3.5)²(3600cm)
Volume of water flowing through the pipe in 1hr = π(35)²(100cm)

∴ Time taken = π(3.5)²3600/π(35)²100
                   t  =  35/9
                   t  = 3.888 mins

Answer 2

The time is 0.166667 minute.

Explanation:

Inner diameter = 7 cm

Speed = 36 m/hr

Radius = 35 cm

Height = 1 m

We need to calculate the rate of water flow

Using formula of rate of flow water

$rate\ of\ flow\ water=36\ m/hr$

$rate\ of\ flow\ water=36\times\dfrac{5}{18}\ m/hr$

$rate\ of\ flow\ water=10\ m/s$

$rate\ of\ flow\ water=1000\ cm/s$

We need to calculate the volume of water in 1 sec

$V_{w}=\pi\times r^2\times h$

$V_{w}=\pi\times(\dfrac{7}{2})^2\times1000$

We need to calculate the volume of tank

$V_{t}=\pi\times r^2\times h$

$V_{t}=\pi\times(35)^2\times100$

We need to calculate the time

Using formula of time

$t=\dfrac{V_{t}}{V_{w}}$

Put the value into the formula

$t=\dfrac{\pi\times(35)^2\times100}{\pi\times(\dfrac{7}{2})^2\times1000}$

$t=10\ second$

$t=0.166667\ min$

Hence, The time is 0.166667 minute.

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Topic : volume of cylindrical pipe

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